Mott transition in the Hubbard model on the anisotropic kagom\'e lattice

TL;DR

This study explores how anisotropy influences the Mott transition in the Hubbard model on a kagomé lattice, revealing significant changes in magnetic and quasiparticle properties driven by frustration relaxation.

Contribution

It demonstrates the impact of anisotropy on the Mott transition and associated magnetic and quasiparticle property changes using advanced simulation techniques.

Findings

The critical interaction for the Mott transition decreases with increasing anisotropy.

Spin correlations are strongly enhanced near the transition.

Quasiparticle bands are significantly deformed around the transition.

Abstract

We investigate the Mott transition in the anisotropic kagom\'e lattice Hubbard model using the cellular dynamical mean field theory combined with continuous-time quantum Monte Carlo simulations. By calculating the double occupancy and the density of states, we determine the interaction strength of the first-order Mott transition and show that it becomes small as the anisotropy increases. We also calculate the spin correlation functions and the single-particle spectrum, and reveal that the quasiparticle and magnetic properties change dramatically around the Mott transition; the spin correlations are strongly enhanced and the quasiparticle bands are deformed. We conclude that such dramatic changes are due to the enhancement of anisotropy associated with the relaxation of frustration around the Mott transition.